Bayesian quantum noise spectroscopy

Ferrie, C; Granade, C; Paz-Silva, G; Wiseman, HM

Bayesian quantum noise spectroscopy

Ferrie, C

Granade, C Paz-Silva, G Wiseman, HM

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Publication Type:: Journal Article
Citation:: New Journal of Physics, 2018, 20 (12)
Issue Date:: 2018-12-05

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Field	Value	Language
dc.contributor.author	Ferrie, C https://orcid.org/0000-0003-2736-9943	en_US
dc.contributor.author	Granade, C	en_US
dc.contributor.author	Paz-Silva, G	en_US
dc.contributor.author	Wiseman, HM	en_US
dc.date.issued	2018-12-05	en_US
dc.identifier.citation	New Journal of Physics, 2018, 20 (12)	en_US
dc.identifier.issn	1367-2630	en_US
dc.identifier.uri	http://hdl.handle.net/10453/134354
dc.description.abstract	© 2018 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft. As commonly understood, the noise spectroscopy problem - characterizing the statistical properties of a noise process affecting a quantum system by measuring its response - is mathematically ill-posed, in the sense that no unique noise process leads to a set of responses unless extra assumptions are taken into account. Ad-hoc solutions assume an implicit structure, which is often never determined. Thus, it is unclear when the method will succeed or whether one should trust the solution obtained. Here, we propose to treat the problem from the point of view of statistical estimation theory. We develop a Bayesian solution to the problem which allows one to easily incorporate assumptions which render the problem solvable. We compare several numerical techniques for noise spectroscopy and find the Bayesian approach to be superior in many respects.	en_US
dc.relation.ispartof	New Journal of Physics	en_US
dc.relation.isbasedon	10.1088/1367-2630/aaf207	en_US
dc.subject.classification	Fluids & Plasmas	en_US
dc.title	Bayesian quantum noise spectroscopy	en_US
dc.type	Journal Article
utslib.citation.volume	12	en_US
utslib.citation.volume	20	en_US
utslib.for	0206 Quantum Physics	en_US
utslib.for	02 Physical Sciences	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	open_access
pubs.issue	12	en_US
pubs.publication-status	Published	en_US
pubs.volume	20	en_US

Abstract:

© 2018 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft. As commonly understood, the noise spectroscopy problem - characterizing the statistical properties of a noise process affecting a quantum system by measuring its response - is mathematically ill-posed, in the sense that no unique noise process leads to a set of responses unless extra assumptions are taken into account. Ad-hoc solutions assume an implicit structure, which is often never determined. Thus, it is unclear when the method will succeed or whether one should trust the solution obtained. Here, we propose to treat the problem from the point of view of statistical estimation theory. We develop a Bayesian solution to the problem which allows one to easily incorporate assumptions which render the problem solvable. We compare several numerical techniques for noise spectroscopy and find the Bayesian approach to be superior in many respects.

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http://hdl.handle.net/10453/134354